How to define the derivative function f'(x).
How to determine the derivative of a power function.
How to compute the derivative of a polynomial function using two properties of the derivative.
How to use the definition of the derivative to find a derivative formula for exponential functions.
How to determine the derivative of a linear function.
How to recognize and use Newton's and Leibniz's notation for the derivative.
How to solve word problems when mixing two quantities with different prices.
How to solve reaction rate problems.
How to infer the derivative of the natural log function using a calculator investigation.
How to define the derivative of a function at a point x=a.
How to solve an interest problem when given the total amount deposited.
How to solve a word problem about finding the tax on a purchase.
How to solve a mixture problem when the size difference between the two containers is known.
How to solve word problems when 2 people are doing a work job together.
How to solve word problems involving rates of travel, possibly including wind or water current.